13590341059680 has 1152 divisors, whose sum is σ = 61367018259456. Its totient is φ = 2651553792000.

The previous prime is 13590341059591. The next prime is 13590341059717. The reversal of 13590341059680 is 8695014309531.

13590341059680 is a `hidden beast` number, since 1 + 3 + 5 + 9 + 0 + 3 + 41 + 0 + 596 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 816179355 + ... + 816196005.

It is an arithmetic number, because the mean of its divisors is an integer number (53269981128).

Almost surely, 2^{13590341059680} is an apocalyptic number.

13590341059680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13590341059680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30683509129728).

13590341059680 is an abundant number, since it is smaller than the sum of its proper divisors (47776677199776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13590341059680 is a wasteful number, since it uses less digits than its factorization.

13590341059680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17140 (or 17129 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 13590341059680 in words is "thirteen trillion, five hundred ninety billion, three hundred forty-one million, fifty-nine thousand, six hundred eighty".